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A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of water. When it is operated at 2000 rpm. Its power consumption and head generated would be
  • a)
    4 kW, 50 m of water
  • b)
    6 kW, 20 m of water
  • c)
    3 kW, 30 m of water
  • d)
    8 kW, 40 m of water
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of...
For head


H2 = 40 m
For power,

P2 = 8 kW
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Most Upvoted Answer
A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of...
Given Data:
- Pump speed at 1000 rpm: Power = 1 kW, Head = 10 m
- Pump speed at 2000 rpm: ?

Calculation:
- Power Consumption (P) is directly proportional to the cube of the speed (N) of the pump. The formula is P2/P1 = (N2/N1)^3
- Power at 2000 rpm = (2000/1000)^3 * 1 kW = 8 kW
- Head generated by the pump is directly proportional to the square of the speed of the pump. The formula is H2/H1 = (N2/N1)^2
- Head at 2000 rpm = (2000/1000)^2 * 10 m = 40 m
Therefore, when the pump is operated at 2000 rpm, the power consumption would be 8 kW and the head generated would be 40 m of water, which corresponds to option 'D'.
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A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of water. When it is operated at 2000 rpm. Its power consumption and head generated would bea)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer?
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A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of water. When it is operated at 2000 rpm. Its power consumption and head generated would bea)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of water. When it is operated at 2000 rpm. Its power consumption and head generated would bea)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pump running at 1000 rpm consumes 1 kW and generates head of 10 m of water. When it is operated at 2000 rpm. Its power consumption and head generated would bea)4 kW, 50 m of waterb)6 kW, 20 m of waterc)3 kW, 30 m of waterd)8 kW, 40 m of waterCorrect answer is option 'D'. Can you explain this answer?.
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